Question 1The roots of the quadratic equation $x^2-3 x+1=0$ are $\alpha$ and $\beta$. Find a quadratic equation whose roots are $\alpha^2+\alpha$ and $\beta^2+\beta$.$x^2+10 x-5=0$$x^2-10 x+5=0$$x^2-5 x-10=0$$x^2+5 x-10=0$$x^2-5 x-5=0$